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A(1, 4), B(3, 2) and C(7, 5) are vertices of a triangle ABC. Find the co-ordinates of the centroid of triangle ABC. - Mathematics

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Question

A(1, 4), B(3, 2) and C(7, 5) are vertices of a triangle ABC. Find the co-ordinates of the centroid of triangle ABC.

Sum

Solution

Co-ordinates of the centroid -

`x = (x_1 + x_2 + x_3)/3`

= `(1 + 3 + 7)/3`

= `11/3`

`y = (y_1 + y_2 + y_3)/3`

= `(4 + 2 + 5)/3`

= `11/3`

The co-ordinates of the centroid of triangle ABC are `(11/3, 11/3)`.

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Equation of a Line
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Chapter 14: Equation of a Line - Exercise 14 (C) [Page 198]

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Selina Mathematics [English] Class 10 ICSE
Chapter 14 Equation of a Line
Exercise 14 (C) | Q 22.1 | Page 198
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